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35

Sep 20, 2013
09/13

by
Michael Voit

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Let $\mathbb F=\mathbb R$ or $\mathbb C$ and $n\in\b N$. Let $(S_k)_{k\ge0}$ be a time-homogeneous random walk on $GL_n(\b F)$ associated with an $U_n(\b F)$-biinvariant measure $\nu\in M^1(GL_n(\b F))$. We derive a central limit theorem for the ordered singular spectrum $\sigma_{sing}(S_k)$ with a normal distribution as limit with explicit analytic formulas for the drift vector and the covariance matrix. The main ingredient for the proof will be a oscillatory result for the spherical functions...

Source: http://arxiv.org/abs/1205.4866v1

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301

Jan 30, 2015
01/15

by
Voit, Ernst

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Probably ceased pub. with v. 10

Topics: bub_upload, Electricity

Source: http://books.google.com/books?id=J8FPAAAAMAAJ&hl=&source=gbs_api

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162

Aug 17, 2016
08/16

by
Edmund Voit

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Topic: bub_upload

Source: http://books.google.com/books?id=tRgPXFuAZLoC&hl=&source=gbs_api

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125

Mar 29, 2016
03/16

by
Voit, Carl

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Includes bibliographic footnotes

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44

Sep 22, 2013
09/13

by
Michael Voit

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Bessel-type convolution algebras of bounded Borel measures on the matrix cones of positive semidefinite $q\times q$-matrices over $\mathbb R, \mathbb C, \mathbb H$ were introduced recently by R\"osler. These convolutions depend on some continuous parameter, generate commutative hypergroup structures and have Bessel functions of matrix argument as characters. Here, we first study the rich algebraic structure of these hypergroups. In particular, the subhypergroups and automorphisms are...

Source: http://arxiv.org/abs/math/0603017v1

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40

Sep 18, 2013
09/13

by
Michael Voit

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Let $p,q$ positive integers. The groups $U_p(\b C)$ and $U_p(\b C)\times U_q(\b C) $ act on the Heisenberg group $H_{p,q}:=M_{p,q}(\b C)\times \b R$ canonically as groups of automorphisms where $M_{p,q}(\b C)$ is the vector space of all complex $p\times q$-matrices. The associated orbit spaces may be identified with $\Pi_q\times \b R$ and $\Xi_q\times \b R$ respectively with the cone $\Pi_q$ of positive semidefinite matrices and the Weyl chamber $\Xi_q={x\in\b R^q: x_1\ge...\ge x_q\ge 0}$. In...

Source: http://arxiv.org/abs/1201.3776v1

8
8.0

Jun 28, 2018
06/18

by
Michael Voit

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The spherical functions of the noncompact Grassmann manifolds $G_{p,q}(\mathbb F)=G/K$ over the (skew-)fields $\mathbb F=\mathbb R, \mathbb C, \mathbb H$ with rank $q\ge1$ and dimension parameter $p>q$ can be described as Heckman-Opdam hypergeometric functions of type BC, where the double coset space $G//K$ is identified with the Weyl chamber $ C_q^B\subset \mathbb R^q$ of type B. The corresponding product formulas and Harish-Chandra integral representations were recently written down by M....

Topics: Mathematical Physics, Mathematics, Classical Analysis and ODEs, Representation Theory, Probability

Source: http://arxiv.org/abs/1506.04925

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11

Sep 23, 2013
09/13

by
Johannes Voit

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We compute the spectral function rho(q,omega) of the one- dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with correlation strength. Charge-spin separation shows up in finite spectral weight at frequencies between v_sigma * q and v_rho * q where v_rho and v_sigma are the velocities of charge and spin fluctuations while spectral weight above v_rho * q and below -v_rho * q is...

Source: http://arxiv.org/abs/cond-mat/9310048v2

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28

Sep 18, 2013
09/13

by
Michael Voit

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Let $\nu\in M^1([0,\infty[)$ be a fixed probability measure. For each dimension $p\in\b N$, let $(X_n^p)_{n\ge1}$ be i.i.d. $\b R^p$-valued radial random variables with radial distribution $\nu$. We derive two central limit theorems for $ \|X_1^p+...+X_n^p\|_2$ for $n,p\to\infty$ with normal limits. The first CLT for $n>>p$ follows from known estimates of convergence in the CLT on $\b R^p$, while the second CLT for $n

Source: http://arxiv.org/abs/1201.3816v1

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44

Sep 22, 2013
09/13

by
Johannes Voit

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We calculate the spectral function of the Luther-Emery model which describes one-dimensional fermions with gapless charge and gapped spin degrees of freedom. We find a true singularity with interaction dependent exponents on the gapped spin dispersion and a finite maximum depending on the magnitude of the spin gap, on a shifted charge dispersion. We apply these results to photoemission experiments on charge density wave systems and discuss the spectral properties of a one-dimensional Mott...

Source: http://arxiv.org/abs/cond-mat/9602087v1

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39

Sep 21, 2013
09/13

by
Johannes Voit

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I discuss origin and possible experimental manifestations of charge-spin separation in 1D Luttinger and Luther-Emery liquids, the latter describing 1D Mott and Peierls insulators and superconductors. Emphasis is on photoemission where the spectral function generically shows two dispersing peaks associated with the collective charge and spin excitations, and on transport. I analyse the temperature dependences of the charge and spin conductivities of two organic conductors and conclude that most...

Source: http://arxiv.org/abs/cond-mat/9711064v1

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68

Sep 23, 2013
09/13

by
Johannes Voit

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I construct the spectral function of the Luther-Emery model which describes one-dimensional fermions with one gapless and one gapped degree of freedom, i.e. superconductors and Peierls and Mott insulators, by using symmetries, relations to other models, and known limits. Depending on the relative magnitudes of the charge and spin velocities, and on whether a charge or a spin gap is present, I find spectral functions differing in the number of singularities and presence or absence of anomalous...

Source: http://arxiv.org/abs/cond-mat/9806174v1

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53

Sep 18, 2013
09/13

by
Johannes Voit

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I give a brief introduction to Luttinger liquids. Luttinger liquids are paramagnetic one-dimensional metals without Landau quasi-particle excitations. The elementary excitations are collective charge and spin modes, leading to charge-spin separation. Correlation functions exhibit power-law behavior. All physical properties can be calculated, e.g. by bosonization, and depend on three parameters only: the renormalized coupling constant $K_{\rho}$, and the charge and spin velocities. I also...

Source: http://arxiv.org/abs/cond-mat/0005114v1

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51

Sep 18, 2013
09/13

by
Johannes Voit

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We determine the distribution of size and growthrates of German business firms in 1987-1997. We find a log-normal size distribution. The distribution of growth rates has fat tails. It can be fitted to an exponential in a narrow central region and is dominated by finite-sample-size effects far in its wings. We study the dependence of the growth rate distribution on firm size: depending on procedures, we find almost no dependence when the center of the distribution is considered or, similar to...

Source: http://arxiv.org/abs/cond-mat/0006260v1

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81

Sep 18, 2013
09/13

by
Johannes Voit

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I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence and because of charge-spin separation. It is replaced by a Luttinger liquid whose elementary excitations are collective charge and spin modes, based on the exactly solvable Luttinger model. I review this model and various...

Source: http://arxiv.org/abs/cond-mat/9510014v1

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26

Sep 18, 2013
09/13

by
Michael Voit

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We present a unified approach to a couple of central limit theorems for radial random walks on hyperbolic spaces and time-homogeneous Markov chains on the positive half line whose transition probabilities are defined in terms of the Jacobi convolutions. The proofs of all results are based on limit results for the associated Jacobi functions. In particular, we consider the cases where the first parameter (i.e., the dimension of the hyperbolic space) tends to infinity as well as the cases...

Source: http://arxiv.org/abs/1201.3490v1

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117

Sep 7, 2016
09/16

by
Voit, Michael

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Topic: bub_upload

Source: http://books.google.com/books?id=yak5AAAAcAAJ&hl=&source=gbs_api

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28

Jul 20, 2013
07/13

by
G. M. Voit

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The radial distributions of temperature, density, and gas entropy among cool-core clusters tend to be quite similar, suggesting that they have entered a quasi-steady state. If that state is regulated by a combination of thermal conduction and feedback from a central AGN, then the characteristics of those radial profiles ought to contain information about the spatial distribution of AGN heat input and the relative importance of thermal conduction. This paper addresses those topics by deriving...

Source: http://arxiv.org/abs/1107.2142v1

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32

Sep 22, 2013
09/13

by
Masaaki Nakamura; Johannes Voit

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In one dimension, the exponential position operators introduced in a theory of polarization are identified with the twisting operators appearing in the Lieb-Schultz-Mattis argument, and their finite-size expectation values $z_L$ measure the overlap between the unique ground state and an excited state. Insulators are characterized by $z_{\infty}\neq 0$. We identify $z_L$ with ground-state expectation values of vertex operators in the sine-Gordon model. This allows an accurate detection of...

Source: http://arxiv.org/abs/cond-mat/0106043v1

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25

Sep 20, 2013
09/13

by
Margit Rösler; Michael Voit

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It was recently shown by the authors that deformations of hypergroup convolutions w.r.t. positive semicharacters can be used to explain probabilistic connections between the Gelfand pairs (SL(d,C), SU(d)) and Hermitian matrices. We here study connections between general convolution semigroups on commutative hypergroups and their deformations. We are able to develop a satisfying theory, if the underlying positive semicharacter has some growth property. We present several examples which indicate...

Source: http://arxiv.org/abs/math/0405255v1

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32

Sep 21, 2013
09/13

by
Harald Voit; Anuradha Annaswamy

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The focus of this paper is on the co-design of control and communication protocol for the control of multiple applications with unknown parameters using a distributed embedded system. The co-design consists of an adaptive switching controller and a hybrid communication architecture that switches between a time-triggered and event-triggered protocol. It is shown that the overall co-design leads to an overall switching adaptive system that has bounded solutions and ensures tracking in the...

Source: http://arxiv.org/abs/1208.4254v1

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32

Sep 21, 2013
09/13

by
Margit Rösler; Michael Voit

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Dunkl operators are differential-difference operators on $\b R^N$ which generalize partial derivatives. They lead to generalizations of Laplace operators, Fourier transforms, heat semigroups, Hermite polynomials, and so on. In this paper we introduce two systems of biorthogonal polynomials with respect to Dunkl's Gaussian distributions in a quite canonical way. These systems, called Appell systems, admit many properties known from classical Hermite polynomials, and turn out to be useful for the...

Source: http://arxiv.org/abs/q-alg/9711004v1

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32

Sep 22, 2013
09/13

by
Margit Rösler; Michael Voit

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We establish a deformation isomorphism between the algebras of $SU(d)$-biinvariant compactly supported measures on $SL(d,\comp)$ and $SU(d)$-conjugation invariant measures on the Euclidean space $H_d^0$ of all Hermitian $d\times d$-matrices with trace 0. This isomorphism concisely explains a close connection between the spectral problem for sums of Hermititan matrices on one hand and the singular spectral problem for products of matrices from $SL(d,\comp)$ on the other, which has recently been...

Source: http://arxiv.org/abs/math/0309361v2

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31

Sep 21, 2013
09/13

by
Yupeng Wang; Johannes Voit

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The single impurity Kondo problem in the one-dimensional $\delta$-potential Fermi gas is exactly solved for two sets of special coupling constants via Bethe ansatz. It is found that ferromagnetic Kondo screening does occur in one case which confirms the Furusaki-Nagaosa conjecture while in the other case it does not, which we explain in a simple physical picture. The surface energy, the low temperature specific heat and the Pauli susceptibility induced by the impurity and thereby the Kondo...

Source: http://arxiv.org/abs/cond-mat/9609171v1

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37

Sep 18, 2013
09/13

by
G. Mark Voit

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Winds from protogalactic starbursts and quasars can drive shocks that heat, ionize, and enrich the intergalactic medium. The Sedov-Taylor solution for point-like explosions adequately describes these blastwaves early in their development, but as the time since the explosion ($t - t_1$) approaches the age of the universe ($t$), cosmological effects begin to alter the blastwave's structure and growth rate. This paper presents an analytical solution for adiabatic blastwaves in an expanding...

Source: http://arxiv.org/abs/astro-ph/9605065v1

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23

Sep 19, 2013
09/13

by
G. Mark Voit

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The nulling interferometers proposed to study planets around other stars are generally well suited for studying small-scale structures surrounding other bright pointlike objects such as the nuclei of active galaxies. Conventional interferometric techniques will produce useful maps of optical/IR line and continuum emission within active galaxies on scales of 10 milliarcseconds (mas), but similar studies of broad-line regions will require baselines longer than those currently envisaged....

Source: http://arxiv.org/abs/astro-ph/9709028v1

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41

Sep 20, 2013
09/13

by
G. Mark Voit

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The most successful cosmological models to date envision structure formation as a hierarchical process in which gravity is constantly drawing lumps of matter together to form increasingly larger structures. Clusters of galaxies currently sit atop this hierarchy as the largest objects that have had time to collapse under the influence of their own gravity. Thus, their appearance on the cosmic scene is also relatively recent. Two features of clusters make them uniquely useful tracers of cosmic...

Source: http://arxiv.org/abs/astro-ph/0410173v1

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38

Sep 19, 2013
09/13

by
Margit Rösler; Michael Voit

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The radial probability measures on $R^p$ are in a one-to-one correspondence with probability measures on $[0,\infty[$ by taking images of measures w.r.t. the Euclidean norm mapping. For fixed $\nu\in M^1([0,\infty[)$ and each dimension p, we consider i.i.d. $R^p$-valued random variables $X_1^p,X_2^p,...$ with radial laws corresponding to $\nu$ as above. We derive weak and strong laws of large numbers as well as a large deviation principle for the Euclidean length processes...

Source: http://arxiv.org/abs/math/0703520v1

404
404

Feb 24, 2015
02/15

by
Voit, Edmund, 1707-1780

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Each volume includes an index

Topics: bub_upload, Christian ethics

Source: http://books.google.com/books?id=jtcsAAAAYAAJ&hl=&source=gbs_api

42
42

Sep 22, 2013
09/13

by
Margit Rösler; Michael Voit

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We prove a limit relation for the Dunkl-Bessel function of type $B_N$ with multiplicity parameters $k_1$ on the roots $\pm e_i$ and $k_2$ on $\pm e_i\pm e_j$ where $k_1$ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type $A_{N-1}$ with multiplicity $k_2$. For certain values of $k_2$ an improved estimate is obtained from a corresponding limit relation for Bessel functions on matrix cones.

Source: http://arxiv.org/abs/0812.0739v1

372
372

Oct 9, 2014
10/14

by
Voit, Edmund, 1707-1780

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comment 0

Each volume includes an index

Topics: bub_upload, Christian ethics

Source: http://books.google.com/books?id=EdgsAAAAYAAJ&hl=&source=gbs_api

0
0.0

Jun 30, 2018
06/18

by
Margit Rösler; Michael Voit

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eye 0

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The Heckman-Opdam hypergeometric functions of type BC extend classical Jacobi functions in one variable and include the spherical functions of non-compact Grassmann manifolds over the real, complex or quaternionic numbers. There are various limit transitions known for such hypergeometric functions. In the present paper, we use an explicit form of the Harish-Chandra integral representation as well as an interpolated variant, in order to obtain limit results for three continuous classes of...

Topics: Mathematics, Representation Theory, Mathematical Physics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1402.5793

309
309

May 17, 2013
05/13

by
RoDoN & andy-voit

software

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A Puppy Linux remaster by RoDoN & andy-voit for Russian users kernel 2.6.18.1

Topics: Puppy linux, Ascetic, RoDoN, andy-voit

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129

Jan 24, 2015
01/15

by
August von Voit

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eye 129

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favorite 1

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=6585AAAAcAAJ&hl=&source=gbs_api

148
148

Jan 28, 2015
01/15

by
Johann Michael Voit

texts

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eye 148

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=FwcHAAAAcAAJ&hl=&source=gbs_api

Includes bibliographical references

Topics: Eye, Eye Enucleation

0
0.0

Jun 30, 2018
06/18

by
Margit Rösler; Michael Voit

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We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$. From an explicit integral representation of these polynomials we deduce a sharp Mehler-Heine formula, that is an approximation of the Heckman-Opdam polynomials in terms of Bessel functions, with a precise estimate on the error term. This result is used to derive a central limit theorem for random walks on the semi-lattice...

Topics: Mathematics, Probability, Representation Theory, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1409.4213

0
0.0

Jun 27, 2018
06/18

by
Margit Rösler; Michael Voit

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We present an explicit product formula for the spherical functions of the compact Gelfand pairs $(G,K_1)= (SU(p+q), SU(p)\times SU(q))$ with $p\ge 2q$, which can be considered as the elementary spherical functions of one-dimensional $K$-type for the Hermitian symmetric spaces $G/K$ with $K= S(U(p)\times U(q))$. Due to results of Heckman, they can be expressed in terms of Heckman-Opdam Jacobi polynomials of type $BC_q$ with specific half-integer multiplicities. By analytic continuation with...

Topics: Representation Theory, Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1504.03868

Sonderabdruck aus "Zeitschrift für prakrische Geologie." XVI Jahrgang, 1908, Heft 4 und 5

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24

Sep 22, 2013
09/13

by
Margit Rösler; Michael Voit

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Consider the Gelfand pairs $(G_p,K_p):=(M_{p,q} \rtimes U_p,U_p)$ associated with motion groups over the fields $\mathbb F=\mathbb R,\mathbb C,\mathbb H$ with $p\geq q$ and fixed $q$ as well as the inductive limit $p\to\infty$,the Olshanski spherical pair $(G_\infty,K_\infty)$. We classify all Olshanski spherical functions of $(G_\infty,K_\infty)$ as functions on the cone $\Pi_q$ of positive semidefinite $q\times q$-matrices and show that they appear as (locally) uniform limits of spherical...

Source: http://arxiv.org/abs/1210.1351v1

47
47

Sep 20, 2013
09/13

by
Margit Rösler; Michael Voit

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In this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.

Source: http://arxiv.org/abs/math/0405368v2

256
256

May 17, 2013
05/13

by
RoDoN & andy-voit

software

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A informal reworking of Puppy Linux 2.17 by RoDoN and andy-voit for Russian users kernel 2.6.18.1

Topics: Puppy Linux, Ascetic, 2.17, RoDoN, andy-voit

42
42

Sep 18, 2013
09/13

by
G. M. Voit

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Evolution of the cluster temperature function is extremely sensitive to the mean matter density of the universe. Current measurements based on cluster temperature surveys indicate that Omega_M ~ 0.3 with a 1-sigma statistical error ~0.1, but the systematic errors in this method are of comparable size. Many more high-z cluster temperatures will be arriving from Chandra and XMM in the near future. In preparation for future cluster temperature surveys, this paper analyses the cluster...

Source: http://arxiv.org/abs/astro-ph/0006366v1

22
22

Sep 18, 2013
09/13

by
G. Mark Voit; Megan Donahue

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The cooling-flow problem is a long-standing puzzle that has received considerable recent attention, in part because the mechanism that quenches cooling flows in galaxy clusters is likely to be the same mechanism that sharply truncates the high end of the galaxy luminosity function. Most of the recent models for halting cooling in clusters have focused on AGN heating, but the actual heating mechanism has remained mysterious. Here we present a framework for AGN heating derived from a Chandra...

Source: http://arxiv.org/abs/astro-ph/0509176v1

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113

May 21, 2011
05/11

by
Voit, Charles H; Thomson, Arthur

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No Abstract Available

Topics: NOMENCLATURE, NOMENCLATURE - Engines

29
29

Sep 21, 2013
09/13

by
Megan Donahue; G. Mark Voit

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We constrain Omega_m through a maximum likelihood analysis of temperatures and redshifts of the high-redshift clusters from the EMSS. We simultaneously fit the low-redshift Markevitch (1998) sample (an all-sky sample from ROSAT with z=0.04- 0.09), a moderate redshift EMSS sample from Henry (1997) (9 clusters with z=0.3- 0.4), and a more distant EMSS sample (5 clusters with z=0.5-0.83 from Donahue et al. 1999) finding best-fit values of Omega_m = 0.45+/-0.1 for an open universe and...

Source: http://arxiv.org/abs/astro-ph/9907333v1

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48

Feb 25, 2016
02/16

by
Unger, Joseph; Voit, August von

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Topic: bub_upload

Source: http://books.google.com/books?id=E_NTAAAAcAAJ&hl=&source=gbs_api

29
29

Sep 19, 2013
09/13

by
G. Mark Voit; Megan Donahue

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X-ray temperature measurements of clusters of galaxies are now reaching to redshifts high enough to constrain Omega_0. A redshift-dependent relation that maps these X-ray temperatures to the virial masses of clusters is an essential ingredient when one is trying to determine cosmological parameters from cluster evolution. Most such relations assume that clusters form from top-hat perturbations that virialized just before the time we are observing them. The smaller Omega_0 is, the less accurate...

Source: http://arxiv.org/abs/astro-ph/9804306v1

Includes bibliographical references and index

Topics: Metabolism, Nutrition, Metabolism, Nutritional Physiological Phenomena

1
1.0

Jun 30, 2018
06/18

by
G. M. Voit; M. Donahue

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Star formation in the universe's largest galaxies---the ones at the centers of galaxy clusters---depends critically on the thermodynamic state of their hot gaseous atmospheres. Central galaxies with low-entropy, high-density atmospheres frequently contain multiphase star-forming gas, while those with high-entropy, low-density atmospheres never do. The dividing line between these two populations in central entropy, and therefore central cooling time, is amazingly sharp. Two hypotheses have been...

Topics: Astrophysics of Galaxies, Astrophysics

Source: http://arxiv.org/abs/1409.1601